It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 230 509 is not a prime number.
For example, 230 509 can be divided by 353: 230 509 / 353 = 653.
For 230 509 to be a prime number, it would have been required that 230 509 has only two divisors, i.e., itself and 1.
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230 509 is an odd number, because it is not evenly divisible by 2.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 230 509 is about 480.114.
Thus, the square root of 230 509 is not an integer, and therefore 230 509 is not a square number.
The square of a number (here 230 509) is the result of the product of this number (230 509) by itself (i.e., 230 509 × 230 509); the square of 230 509 is sometimes called "raising 230 509 to the power 2", or "230 509 squared".
The square of 230 509 is 53 134 399 081 because 230 509 × 230 509 = 230 5092 = 53 134 399 081.
As a consequence, 230 509 is the square root of 53 134 399 081.
The multiples of 230 509 are all integers evenly divisible by 230 509, that is all numbers such that the remainder of the division by 230 509 is zero. There are infinitely many multiples of 230 509. The smallest multiples of 230 509 are: